Seven principal theorems
(some serendipitous)
Proofs, proofs, proofs...
We reviewed the proofs of all basic theorems that reveal the secrets of tangency spinors. They relate to the tangential arrangements of two, three, and four disks. And they have the taste of "linearization" of the quadratic nature of the features ruling the curvatures, much like Dirac equation is a linearization of the Klein-Gordon equation.
The "comix" of the theorems is presented below. One of the theorems may be viewed as the "square root of the Descartes Formula".
CHALLENGE: Which is it? Can you derive the Descartes Formula from it?
Would squaring it be enough?...
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| [Click on to enlarge] |
PS. Is the following figure better?
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